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GCF of 451/240, 629/348

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 451/240, 629/348 i.e 1/6960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/240, 629/348.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 451/240,629/348?

Given fractions are 451/240,629/348

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 451/240,629/348, numerators are 451,629

Denominators are 240,348

The GCF of 451,629 is 1 .

LCM of 240,348 is 6960.

The greatest common factor of 451/240,629/348 = [GCF of 451,629]/[LCM of 240,348]= 1/6960

Therefore, the GCF of 451/240,629/348 is 1/6960.

Greatest Common Factor of 451,629

To find the highest common factor of 451,629, we have to find the factors of both numbers and list the highest common factor.

The factors of 451 are 1, 11, 41, 451

The factors of 629 are 1, 17, 37, 629

The HCF of 451,629 is 1.

Lets's calculate GCF of 451,629

Greatest Common Factor (GCF) of 451,629 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 451,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,629 By Matching Biggest Common Factor Method

Now, list down the factors of 451

:

1,11,41,451

Now, list down the factors of 629

:

1,17,37,629

Greatest Common Factor

We found the factors 451,629 . The biggest common factor number is the GCF number.
So the greatest common factor 451,629 is 1.

Lets's calculate LCM of 240,348

Lowest Common Multiple of 240,348 using Common Division

2 240, 348
2 120, 174
3 60, 87
20, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 29 = 6960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6960

Therefore, the GCF of Fractions 451/240,629/348 is 1/6960

Least Common Multiple of 240,348 with GCF Formula

Least Common Multiple of 240,348 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 240,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,348) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(240,348) x common factors =12 x 1 = 12

LCM(240,348) = ( 240 × 348 ) / 12

LCM(240,348) = 83520 / 12

LCM(240,348) = 6960


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FAQs on GCF of Fractions of 451/240, 629/348

1. What is the HCF of 451,629?

The HCF of 451,629 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 451/240, 629/348?

Answer: GCF of Numerators as per given numbers 451/240, 629/348 is

GCF of Numerators i.e. for 451,629 is 1

LCM of denominators i.e. for 240,348 is 6960.

Thus, GCF of Fractions is 1/6960.Finally, GCF of Fractions for 451/240, 629/348 is 1/6960.